10202121111104 has 112 divisors (see below), whose sum is σ = 22026831857856. Its totient is φ = 4660225382400.

The previous prime is 10202121111089. The next prime is 10202121111107. The reversal of 10202121111104 is 40111112120201.

It is not an unprimeable number, because it can be changed into a prime (10202121111107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94400459 + ... + 94508469.

It is an arithmetic number, because the mean of its divisors is an integer number (196668141588).

Almost surely, 2^{10202121111104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202121111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11013415928928).

10202121111104 is an abundant number, since it is smaller than the sum of its proper divisors (11824710746752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10202121111104 is a wasteful number, since it uses less digits than its factorization.

10202121111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109204 (or 109194 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10202121111104 its reverse (40111112120201), we get a palindrome (50313233231305).

The spelling of 10202121111104 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, one hundred eleven thousand, one hundred four".